Least Common Multiple of 313446 and 313454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 313446 and 313454 the smallest integer that is 49125451242 that is divisible by both numbers.

Least Common Multiple (LCM) of 313446 and 313454 is 49125451242.

LCM(313446,313454) = 49125451242

LCM of 313446 and 313454

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 313446 and 313454

LCM of 313446 and 313454 is 49125451242

Least common multiple can be found by multiplying the highest exponent prime factors of 313446 and 313454. First we will calculate the prime factors of 313446 and 313454.

Prime Factorization of 313446


2 313446
3 156723
7 52241
17 7463
439 439
1

Prime factors of 313446 are 2, 3, 7, 17,439. Prime factorization of 313446 in exponential form is:

313446 = 21×31×71×171×4391

Prime Factorization of 313454


2 313454
156727 156727
1

Prime factors of 313454 are 2,156727. Prime factorization of 313454 in exponential form is:

313454 = 21×1567271

Now multiplying the highest exponent prime factors to calculate the LCM of 313446 and 313454.

LCM(313446,313454) = 21×31×71×171×4391×1567271
LCM(313446,313454) = 49125451242

Factors of 313446

List of positive integer factors of 313446 that divides 313446 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 439, 714, 878, 1317, 2634, 3073, 6146, 7463, 9219, 14926, 18438, 22389, 44778, 52241, 104482, 156723, 313446

Factors of 313454

List of positive integer factors of 313454 that divides 313454 without a remainder.

1, 2, 156727, 313454

Least Common Multiple of 313446 and 313454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313446 and 313454, than apply into the LCM equation.

GCF(313446,313454) = 2
LCM(313446,313454) = ( 313446 × 313454) / 2
LCM(313446,313454) = 98250902484 / 2
LCM(313446,313454) = 49125451242

Properties of LCM 313446 and 313454

(i) The LCM of 313454 and 313446 is associative

LCM of 313446 and 313454 = LCM of 313454 and 313446

Related Least Common Multiples of 313446

Related Least Common Multiples of 313454

Frequently Asked Questions on LCM of 313446 and 313454

1. What is the LCM of 313446 and 313454?

Answer: LCM of 313446 and 313454 is 49125451242.

2. What are the Factors of 313446?

Answer: Factors of 313446 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 439, 714, 878, 1317, 2634, 3073, 6146, 7463, 9219, 14926, 18438, 22389, 44778, 52241, 104482, 156723, 313446. There are 32 integers that are factors of 313446. The greatest factor of 313446 is 313446.

3. What are the Factors of 313454?

Answer: Factors of 313454 are 1, 2, 156727, 313454. There are 4 integers that are factors of 313454. The greatest factor of 313454 is 313454.

4. How to Find the LCM of 313446 and 313454?

Answer:

Least Common Multiple of 313446 and 313454 = 49125451242

Step 1: Find the prime factorization of 313446

313446 = 2 x 3 x 7 x 17 x 439

Step 2: Find the prime factorization of 313454

313454 = 2 x 156727

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 49125451242 = 2 x 3 x 7 x 17 x 439 x 156727

Step 4: Therefore, the least common multiple of 313446 and 313454 is 49125451242.